205000319 has 2 divisors, whose sum is σ = 205000320. Its totient is φ = 205000318.

The previous prime is 205000267. The next prime is 205000351. The reversal of 205000319 is 913000502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205000319 - 2¹² = 204996223 is a prime.

It is a super-2 number, since 2×205000319² = 84050261580203522, which contains 22 as substring.

It is a Chen prime.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 205000319.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205000919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102500159 + 102500160.

It is an arithmetic number, because the mean of its divisors is an integer number (102500160).

Almost surely, 2^205000319 is an apocalyptic number.

205000319 is a deficient number, since it is larger than the sum of its proper divisors (1).

205000319 is an equidigital number, since it uses as much as digits as its factorization.

205000319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 205000319 is about 14317.8322032352. The cubic root of 205000319 is about 589.6371598410.

The spelling of 205000319 in words is "two hundred five million, three hundred nineteen", and thus it is an aban number.